Morton, Hugh 
ORCID: 0000-0002-8524-2695 and Samuelson, Peter
DAHAs and skein theory.
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Abstract
We give a skein-theoretic realization of the $\mathfrak{gl}_n$ double affine Hecke algebra of Cherednik using braids and tangles in the punctured torus. We use this to provide evidence of a relationship we conjecture between the classical skein algebra of the punctured torus and the elliptic Hall algebra of Burban and Schiffmann.
| Item Type: | Article |
|---|---|
| Additional Information: | Preliminary version, comments welcome! 25 pages, many figures. V2: added some details, diagrams, comments, and subtracted some typos |
| Uncontrolled Keywords: | math.QA, math.QA, math.RT |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 02 Dec 2019 08:28 |
| Last Modified: | 19 Jan 2023 00:18 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3064352 |
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- DAHAs and skein theory. (deposited 02 Dec 2019 08:28) [Currently Displayed]
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